Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570t |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
14100846740240 = 24 · 5 · 137 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-642626,-198550721] |
[a1,a2,a3,a4,a6] |
Generators |
[4359272892750153:-60761798629420393:4315620316041] |
Generators of the group modulo torsion |
j |
6080489160206761/2921360 |
j-invariant |
L |
14.465984060767 |
L(r)(E,1)/r! |
Ω |
0.16862035158715 |
Real period |
R |
21.447565378991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890i1 |
Quadratic twists by: 13 |